Officials, motel photographers, wages for hit men, explosives, amounting to $30,000.) Amis sells the perfume via his $900 per gram. Specify Sthugs for of perfume he buys and sells.
Calculate how much perfume (in grams) should pass through Stinky's hands per day in order that he break even. (Round your answer to two decimal places.)
Answer (1)
Define x as the number of grams of perfume to sell.
Set up the equation: 900 x = 30000 .
Solve for x : x = 900 30000 .
Calculate x and round to two decimal places: 33.33
Explanation
Understanding the Problem Let's analyze the problem. Stinky has a fixed cost of $30,000 per day. He sells perfume at $900 per gram. We need to find out how many grams of perfume Stinky needs to sell to cover his costs and break even.
Setting up the Equation Let x be the number of grams of perfume Stinky needs to sell. The revenue from selling x grams is 900 x . To break even, the revenue must equal the fixed costs. So, we have the equation: 900 x = 30000
Solving for x Now, we need to solve for x . Divide both sides of the equation by 900: x = 900 30000 x = 9 300 x = 3 100 x ≈ 33.33
Final Answer Therefore, Stinky needs to sell approximately 33.33 grams of perfume to break even.
Examples
Imagine you're running a lemonade stand. You have fixed costs like the cost of the stand itself and advertising, which totals $30. If you sell each cup of lemonade for $0.90, you need to figure out how many cups you must sell to cover your initial costs and start making a profit. This problem is similar; by calculating the break-even point, you know exactly how much you need to sell to avoid losing money. Understanding break-even points is crucial in any business to ensure profitability and sustainability.
